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Simplifying 37x + 1 = 6(6x + 6) Reorder the terms: 1 + 37x = 6(6x + 6) Reorder the terms: 1 + 37x = 6(6 + 6x) 1 + 37x = (6 * 6 + 6x * 6) 1 + 37x = (36 + 36x) Solving 1 + 37x = 36 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 1 + 37x + -36x = 36 + 36x + -36x Combine like terms: 37x + -36x = 1x 1 + 1x = 36 + 36x + -36x Combine like terms: 36x + -36x = 0 1 + 1x = 36 + 0 1 + 1x = 36 Add '-1' to each side of the equation. 1 + -1 + 1x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 36 + -1 1x = 36 + -1 Combine like terms: 36 + -1 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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